Question
Find the angle $\theta$ between the given vectors to the nearest tenth of a degree.$$\mathbf{U}=-3 \mathbf{i}+5 \mathbf{j}, \mathbf{V}=6 \mathbf{i}+3 \mathbf{j}$$
Step 1
The dot product of two vectors is given by the formula $\mathbf{U} \cdot \mathbf{V} = U_iV_i + U_jV_j$. Substituting the given values, we get $\mathbf{U} \cdot \mathbf{V} = -3*6 + 5*3 = -18 + 15 = -3$. Show more…
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